啮合相位对人字齿行星齿轮传动系统均载的影响

doi:10.3901/JME.2018.11.129

机械工程学报 ›› 2018, Vol. 54 ›› Issue (11): 129-140.doi: 10.3901/JME.2018.11.129

啮合相位对人字齿行星齿轮传动系统均载的影响

张霖霖, 朱如鹏

南京航空航天大学机电学院南京 210016

收稿日期:2017-05-12 修回日期:2017-11-21 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: 朱如鹏(通信作者),男,1959年出生,博士,教授,博士研究生导师。主要研究方向为机械传动、结构强度和微型机械。E-mail:rpzhu@nuaa.edu.cn
作者简介:张霖霖,女,1988年出生,博士研究生。主要研究方向为机械传动。E-mail:linlin@nuaa.edu.cn
基金资助:
国家自然科学基金资助项目（51775265，51375226）。

Impact of Meshing Phase on Load Sharing for Herringbone Planetary Trai

ZHANG Linlin, ZHU Rupeng

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016

Received:2017-05-12 Revised:2017-11-21 Online:2018-06-05 Published:2018-06-05

摘要/Abstract

摘要： 基于集中参数法建立了人字齿行星齿轮传动系统平移-扭转耦合非线性动力学模型，模型中考虑了人字齿行星齿轮传动系统多重啮合间相位关系，提出了计入啮合相位的时变啮合刚度，综合考虑了各构件的支撑刚度、误差激励。研究了啮合相位对人字齿行星齿轮均载的影响，结果表明：理想啮合状态下，均布式人字齿行星齿轮系统中，啮合相位系数为0时，系统均载系数为1，同时抑制了系统平移振动；非均布式人字齿行星齿轮系统中，啮合相位系数为0时，系统均载系数为1，同时抑制了部分平移振动。无啮合相位差的人字齿行星齿轮系统均载系数较相位差不为0时小。微调行星齿轮的几何相位，不改变系统传动比及尺寸；调整行星齿轮齿数关系，虽系统的传动比及尺寸略有变化，但系统的均载系数更小，同时抑制系统了平移振动。在单级人字齿行星齿轮试验台上对不同啮合相位的行星齿轮系统进行了均载试验研究，验证了理论分析结果的有效性。

关键词: 动力学, 均载, 啮合相位, 人字齿, 行星齿轮

Abstract: Based on the theory of lumped parameters, a translation-torsion coupling nonlinear dynamic model of herringbone planetary gear train was presented. The model considers multiple meshing phase relationship of the herringbone planetary gear transmission system, time varying meshing stiffness is derived. The support stiffness and error excitation of each member are considered synthetically. The effects of meshing phase on load sharing of the herringbone planetary gear is studied, the results show that:in the condition of ideal mesh, when meshing phase coefficient of the uniform type herringbone gear planetary gear system is 0, the system load sharing coefficient is 1, and the system translational vibration was inhibited; When meshing phase coefficient of the non uniform type herringbone gear planetary gear system is 0, the system load sharing coefficient is 1, and the system translational vibration was partly inhibited. The load sharing coefficient of herringbone planetary gear system with 0 meshing phase is smaller than that with different meshing phase. Geometry phase adjustments don't change the transmission ratio and size of the herringbone planetary train. Adjustments of the relations of planetary gear tooth number, although the transmission ratio and the size of the system will change slightly, but the load sharing coefficients are more smaller, and the system translational vibration was inhibited. The load sharing experimental study of planetary gear system with different meshing phase is conducted on single stage test herringbone planetary gear bench, which verifies the theoretical analysis.

Key words: dynamics, herringbone gear, load sharing, meshing phase, planetary gear train

中图分类号:

TH132

张霖霖, 朱如鹏. 啮合相位对人字齿行星齿轮传动系统均载的影响[J]. 机械工程学报, 2018, 54(11): 129-140.

ZHANG Linlin, ZHU Rupeng. Impact of Meshing Phase on Load Sharing for Herringbone Planetary Trai[J]. Journal of Mechanical Engineering, 2018, 54(11): 129-140.

参考文献

[1] BODAS A, KAHRAMAN A. Influence of carrier and gear manufacturing errors on static load sharing behavior of planetary[J]. JSME International Journal, Series C, 2004, 47(3):908-915.
[2] LIGATA H, KAHRAMAN A, SINGH A. An experimental study of the influence of manufacturing errors on the planetary gear stresses and planet load sharing[J]. ASME, Journal of Mechanical Design, 2008, 130(4):137-139.
[3] SINGH A. Epicyclic load sharing map-developmengt and valadation[J]. Mechanism and Machine Theory, 2011, 46(5):632-646.
[4] BOGUSKI B KAHRAMAN A, NISHINO T A. New method to measure planet load sharing and sun gear radial orbit of planetary gear sets[J]. Journal of Mechanical Design, 2012, 134(7):169-180.
[5] 孙智民,沈允文,李素有.封闭行星齿轮传动系统的动态特性研究[J].机械工程学报, 2002, 38(2):44-48. SUN Zhimin, SHEN Yunwen, LI Suyou. Study on dynamic behavior of encased differential gear train[J]. Chinese Journal of Mechanical Engineering, 2002, 38(2):44-48.
[6] 陆俊华,李斌,朱如鹏. 行星齿轮传动静力学均载分析[J]. 机械科学与技术, 2005, 24(6):702-704. LU Junhua, LI Bin, ZHU Rupeng. Analysis of static load sharing in planetary gearing[J]. Mechanical Science and Technology, 2005, 24(6):702-704.
[7] 朱增宝,朱如鹏,鲍和云,等. 偏心与齿频误差对封闭差动人字齿轮传动系统动态均载特性的影响分析[J]. 航空动力学报, 2011, 26(11):2601-2609. ZHU Zengbao, ZHU Rupeng, BAO Heyun, et al. Impact of run-out and meshing-frequency erroers in dynamic load sharing for enchased differential herringbone train[J]. Journal of Aerospace Power, 2011, 26(11):2601-2609.
[8] 朱增宝,朱如鹏,李应生. 安装误差对封闭差动人字齿轮传动系统动态均载特性的影响[J].机械工程学报, 2012, 48(3):16-24. ZHU Zengbao, ZHU Rupeng, LI Yingsheng. Impact of installation error on danamics load sharing characteristic of encaced differential herringbone train[J]. Journal of Mechanical Engineering, 2012, 48(3):16-24.
[9] 徐向阳,朱才朝,刘怀举,等. 柔性销轴式风电齿轮箱行星传动均载研究[J]. 机械工程学报, 2014, 50(11):43-49. XU Xiangyang, ZHU Caichao, LIU Huaiju, et al. Load sharing research of planetary gear transmission system of wind turbine gearbox with flexible pins[J]. Journal of Mechanical Engineering, 2014, 50(11):43-49.
[10] 谭援强, 胡聪芳,张跃春,等. 封闭差动行星齿轮箱动态均载性能试验研究[J]. 机械工程学报, 2016, 52(9):28-35. TAN Yuanqiang, HU Congfang, ZHANG Yuechun, et al. Testing research on dynamic load sharing performance of encased differential planetary gearbox[J]. Journal of Mechanical Engineering, 2016, 52(9):28-35.
[11] SCHLEGEL R G, MARD K C. Transmission noise control-approaches in helicopter design[C]//American Society of Mechanical Engineers Design Engineering Conference, 1967. New York:ASME, 1967:67-DE-58.
[12] SEAGER D L. Conditions for neutralization of excitation by the teeth in epicyclic gearing[J]. Journal of Mechanical Engineering Science, 1975, 45(17):293-299.
[13] PALMER W E, FUEHRER R R. Noise control in planetary transmissions[C]//Earth Moving Industry Conference, 1977:770561.
[14] HIDAKA T, TERAUCHI Y, NAGAMURA K. Dynamic behavior of planetary gear-6th report, influence of meshing-phase[J]. Bulletin of JSME, 1978, 387(44):3966-3975.
[15] KAHRAMAN A. Planetary gear train dynamics[J]. Journal of Mechanical Design, 1994, 116(3):713-720.
[16] KAHRAMAN A, BLANKENSHIP G W. Planet mesh phasing in epicyclic gear sets[C]//Proceedings of International Gearing Conference, 1994:99-104.
[17] PARKER R G. A physical explanation of the effectiveness of planet phasing to suppress planetary gear vibration[J]. Journal of Sound and Vibration, 2000, 236(4):561-573
[18] PARKER R G, LIN J. Mesh phasing relationships in planetary and epicyclic gear[J]. Journal of Mechanical Design, 2004, 126(2):525-534.
[19] 王世宇. 基于相位调谐的直齿行星齿轮传动动力学理论与试验研究[D]. 天津:天津大学, 2005. WANG Shiyu. Theoretical and experimental study on the dynamics of spur planetary gear transmission based on phase tuning[D]. Tianjin:Tianjin University, 2005.
[20] 沈稼耕. 计入啮合相位的人字齿行星齿轮系统动力学研究[D]. 南京:南京航空航天大学, 2014. SHEN Jiageng. Research on dynamics of herringbone planetary gear trains based on mesh phasing[D]. Nanjing:Nanjing University of Aeronautics & Astronautics, 2014.
[21] 谢帮,王世宇. 锥齿行星齿轮传动相位调谐研究[J]. 振动工程学报, 2016, 29(1):69-77. XIE Bang, WANG Shiyu. Study on phase tuning of bevel planetary gear transmission[J] Journal of Vibration Engineering, 2016, 29(1):69-77.
[22] MAATAR M, VELEX P. An analytical expression for the time-varying contact length in perfect gylindrical gears:Some possible applications in gear dynamics[J]. Journal of Mechanical Design, 1996, 118(4):586-589.

啮合相位对人字齿行星齿轮传动系统均载的影响

Impact of Meshing Phase on Load Sharing for Herringbone Planetary Trai

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	战强, 李伟. 球形移动机器人的研究进展与发展趋势[J]. 机械工程学报, 2019, 55(9): 1-17.
[2]	胡茑庆, 陈徽鹏, 程哲, 张伦, 张宇. 基于经验模态分解和深度卷积神经网络的行星齿轮箱故障诊断方法[J]. 机械工程学报, 2019, 55(7): 9-18.
[3]	蔡万强, 王时龙, 张其, 杨文翰, 易力力. 多股簧绕制成型过程中时变非线性张力控制建模及仿真[J]. 机械工程学报, 2019, 55(7): 147-154.
[4]	熊鹏, 汤宝平, 邓蕾, 赵明航. 基于动态加权密集连接卷积网络的变转速行星齿轮箱故障诊断[J]. 机械工程学报, 2019, 55(7): 52-57.
[5]	崔玲丽, 王鑫, 王华庆, 胥永刚, 张建宇. 基于改进开关卡尔曼滤波的轴承故障特征提取方法[J]. 机械工程学报, 2019, 55(7): 44-51.
[6]	蒋建东, 章恩光, 赵颖娣, 李聪聪, 乔欣. 盾构刀盘振动掘削动力学建模与仿真研究[J]. 机械工程学报, 2019, 55(5): 113-120.
[7]	杨建伟, 刘传, 王金海, 孙冉, 祝赫锴. 牵引与桥梁上拱激励下城轨列车动力学性能研究[J]. 机械工程学报, 2019, 55(4): 118-125.
[8]	董悫, 张立建, 易旺民, 万毕乐, 孟少华, 胡瑞钦. 基于动力学前馈的空间机器人多销孔装配力柔顺控制[J]. 机械工程学报, 2019, 55(4): 207-217.
[9]	孙帮成, 刘志明, 崔涛, 李明高, 李红, 王文军. 汽车列车多轴转向控制方法及仿真研究[J]. 机械工程学报, 2019, 55(4): 154-163.
[10]	滕万秀, 罗仁, 石怀龙, 曾京. 高寒动车组-40℃环境下动力学性能[J]. 机械工程学报, 2019, 55(4): 148-153.
[11]	邹玉静, 庞峰, 樊智敏. 渐开线斜齿轮传动摩擦动力学耦合研究[J]. 机械工程学报, 2019, 55(3): 109-119.
[12]	张建华, 许晓林, 刘璇, 张明路. 双臂协调机器人相对动力学建模[J]. 机械工程学报, 2019, 55(3): 34-42.
[13]	谷勇霞, 张玉玲, 赵杰亮, 阎绍泽. 考虑含间隙关节的漂浮基空间机械臂动力学输出特性研究[J]. 机械工程学报, 2019, 55(3): 99-108.
[14]	赵伟涛,刘超,党德旺,顾磊,张强. SF₆高压断路器动力学仿真研究[J]. 电气工程学报, 2019, 14(2): 30-37.
[15]	周橙, 池茂儒, 梁树林, 吴兴文, 蒋益平, 吴磊. 不同轮对结构城市轻轨低地板列车通过道岔区动力学行为分析[J]. 机械工程学报, 2019, 55(2): 98-106.